Regular elements in multiplicative lattices

• Autores: C. Jayaram
• Localización: Algebra universalis, ISSN 0002-5240, Vol. 59, Nº. 1-2, 2008, págs. 73-84
• Idioma: inglés
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• Resumen

  • In this paper we establish several equivalent conditions for every regular element (quasi-regular ideal) of a principally generated C-lattice L (a commutative ring with identity R) to be an invertible element of L (quasi-invertible ideal of R). Using these results, some new characterizations are given for almost Dedekind lattices, almost Dedekind rings, Dedekind lattices and Dedekind rings.